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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

Affine manifolds and solvable groups


Authors: D. Fried, W. Goldman and M. W. Hirsch
Journal: Bull. Amer. Math. Soc. 3 (1980), 1045-1047
MSC (1980): Primary 57N15, 22E25
MathSciNet review: 585187
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References [Enhancements On Off] (What's this?)

  • David Fried, Polynomials on affine manifolds, Trans. Amer. Math. Soc. 274 (1982), no. 2, 709–719. MR 675076, 10.1090/S0002-9947-1982-0675076-0
  • [FG] D. Fried and W. Goldman, Three-dimensional affine crystallographic groups (in preparation).
  • David Fried, William Goldman, and Morris W. Hirsch, Affine manifolds with nilpotent holonomy, Comment. Math. Helv. 56 (1981), no. 4, 487–523. MR 656210, 10.1007/BF02566225
  • William M. Goldman, Two examples of affine manifolds, Pacific J. Math. 94 (1981), no. 2, 327–330. MR 628585
  • [GH1] W. Goldman and M. Hirsch, Parallel characteristic classes of affine manifolds (in preparation).
  • [GH2] W. Goldman and M. Hirsch, A generalization of Bieberbach's theorem (to appear).
  • [GH3] W. Goldman and M. Hirsch, Polynomial forms on affine manifolds (in preparation).
  • Morris W. Hirsch, Flat manifolds and the cohomology of groups, Algebraic and geometric topology (Proc. Sympos., Univ. California, Santa Barbara, Calif., 1977) Lecture Notes in Math., vol. 664, Springer, Berlin, 1978, pp. 94–103. MR 518410
  • John Milnor, On fundamental groups of complete affinely flat manifolds, Advances in Math. 25 (1977), no. 2, 178–187. MR 0454886
  • Katsumi Nomizu, On the cohomology of compact homogeneous spaces of nilpotent Lie groups, Ann. of Math. (2) 59 (1954), 531–538. MR 0064057
  • [S] J. Smillie, Affinely flat manifolds, Doctoral dissertation, Univ. of Chicago, 1977.

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DOI: http://dx.doi.org/10.1090/S0273-0979-1980-14849-1